1728/1715

Interval information

Ratio	1728/1715
Factorization	26 × 33 × 5-1 × 7-3
Monzo	[6 3 -1 -3⟩
Size in cents	13.07357¢
Name	orwellisma
Color name	r3g-2, triru-agu negative 2nd, Triru-agu comma
FJS name	[math]\displaystyle{ \text{m}{-2}_{5,7,7,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	21.4989
Weil height (log2 max(n, d))	21.5098
Wilson height (sopfr(nd))	47
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~2.61759 bits
Comma size	small
S-expression	S6 / S7
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1728/1715, the orwellisma, is a small 7-limit comma measuring about 13.1 cents. It is equal to (8/5)/(7/6)³ and thus often makes sense to temper in any temperament where the generator (or a multiple thereof) is a slightly sharpened 7/6, such as in orwell.

Temperaments

Tempering out this comma alone in the 7-limit leads to the orwellismic temperament. See orwellismic family for the rank-3 temperament family where it is tempered out. See orwellismic temperaments for a collection of rank-2 temperaments where it is tempered out.

See also

• Small comma